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3. An object of mass 90 kg travels down a slide.

Calculate the change in gravitational potential energy in joules of the object when it moves 15 m
vertically downwards.
(2 Points)
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4. Calculate the maximum possible speed in m/s that the object in question 3 could reach at the
bottom of the slide.
Give your answer to 3.s.f
(3 Points)
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User Neox
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1 Answer

1 vote

Answer:

3) Ep = 13243.5[J]

4) v = 17.15 [m/s]

Step-by-step explanation:

3) In order to solve this problem, we must use the principle of energy conservation. That is, the energy will be transformed from potential energy to kinetic energy. We can calculate the potential energy with the mass and height data, as shown below.

m = mass = 90 [kg]

h = elevation = 15 [m]

Potential energy is defined as the product of mass by gravity by height.


E_(p)=m*g*h\\E_(p)=90*9.81*15\\E_(p)=13243.5[J]

This energy will be transformed into kinetic energy.

Ek = 13243.5 [J]

4) The velocity can be determined by defining the kinetic energy, as shown below.


E_(k)=(1)/(2) *m*v^(2) \\v = \sqrt{(2*E_(k) )/(m) }\\ v= \sqrt{(2*13243.5 )/(90) }\\v=17.15[m/s]

User Sangeet Agarwal
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